I first noticed that
This might become a connect wall of nursery rhymes
I saw "McDonald's" and "farm" at the top
I was able to look up what the image at Row 1 Column 2 was by searching the keywords in the image-- turns out, it was a HAD,
which confirmed my suspicions.
And the more images I was able to get, the more my suspicions were confirmed.
From left to right, top to bottom:
FARM, HAD, MCDONALD'S, JILL (ooh, topical);
DOWN, OLD, ROBIN, UP (or is it "WENT UP"?);
FALL, JACK, COCK, HILL; and finally
BRIDGE, LONDON, KILL, WHO.
Now of course, the groups are
Old MacDonald Had A Farm (OLD, MCDONALD'S, HAD, FARM),
Jack and Jill (JACK, JILL, UP, HILL),
London Bridge is Falling Down (LONDON, BRIDGE, FALL, DOWN), and
Who Killed Cock Robin (WHO, KILL, COCK, ROBIN).
This is just purely amazing:
If you trace paths as shown above from spot to spot (e.g. forming the title for Old MacDonald, you would go from the OLD image to the MCDONALD'S image to the HAD image and finally to the FARM image), you will get this:
which seems to spell FALL!
Thus we now know that
FALL was a great time for Mr. H.
I was able to infer that Mr. H was Mr. Humpty Dumpty.
This must be correct because
Humpty Dumpty is also part of a nursery rhyme, which is the theme of this connect wall.
But more than that, it also confirms the answer to the first question! You must remember
that the nursery rhyme starts off as "Humpty Dumpty sat on a wall, Humpty Dumpty had a great fall!"
Some other things to note:
- The flavor text all makes sense now.
- The color of the spots and lines was not accidental either-- after all, because Humpty Dumpty was an egg, when he fell down the wall, yellow would have splattered on the wall. (Edit: In The Sphinx's Lair chatroom, OP confirmed that that was not his original intention.)